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Finding the Fourth Proportional to 6,308.51, 9,450.47 and 5,430.98

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Solution

The fourth proportional to 6,308.51, 9,450.47 and 5,430.98 is: 8,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.51 : 9,450.47 = 5,430.98 : x
  2. Step 2: Convert to fraction form
    6,308.51/9,450.47 = 5,430.98/x
  3. Step 3: Cross multiply
    6,308.51x = 9,450.47 × 5,430.98
  4. Step 4: Simplify right side
    6,308.51x = 51,325,286.41
  5. Step 5: Solve for x
    x = 51,325,286.41/6,308.51
  6. Step 6: Final answer
    x = 8,135.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.